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Simplifying x * 1 + 5 * 0.4 = (x + 5) * 0.5 Reorder the terms for easier multiplication: 1x + 5 * 0.4 = (x + 5) * 0.5 Multiply 5 * 0.4 1x + 2 = (x + 5) * 0.5 Reorder the terms: 2 + 1x = (x + 5) * 0.5 Reorder the terms: 2 + 1x = (5 + x) * 0.5 Reorder the terms for easier multiplication: 2 + 1x = 0.5(5 + x) 2 + 1x = (5 * 0.5 + x * 0.5) 2 + 1x = (2.5 + 0.5x) Solving 2 + 1x = 2.5 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 2 + 1x + -0.5x = 2.5 + 0.5x + -0.5x Combine like terms: 1x + -0.5x = 0.5x 2 + 0.5x = 2.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 2 + 0.5x = 2.5 + 0.0 2 + 0.5x = 2.5 Add '-2' to each side of the equation. 2 + -2 + 0.5x = 2.5 + -2 Combine like terms: 2 + -2 = 0 0 + 0.5x = 2.5 + -2 0.5x = 2.5 + -2 Combine like terms: 2.5 + -2 = 0.5 0.5x = 0.5 Divide each side by '0.5'. x = 1 Simplifying x = 1
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